Oligomer antiferromagnetism. I. Expediency of the Heisenberg spin Hamiltonian in the submolecule model

1973 ◽  
Vol 12 (12) ◽  
pp. 2743-2747 ◽  
Author(s):  
Ian G. Dance
Keyword(s):  
Spin Hamiltonian ◽  
Heisenberg Spin ◽  
Heisenberg Spin Hamiltonian

scholarly journals Dynamic creation of a topologically-ordered Hamiltonian using spin-pulse control in the Heisenberg model

2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Tetsufumi Tanamoto ◽  
Keiji Ono ◽  
Yu-xi Liu ◽  
Franco Nori
Keyword(s):  
Quantum Information Processing ◽  
Pulse Sequence ◽  
Honeycomb Lattice ◽  
Pulse Control ◽  
Spin Hamiltonian ◽  
Heisenberg Spin ◽  
Important Approach ◽  
One Step ◽  
Heisenberg Spin Hamiltonian ◽  
Stable Material

Abstract Hamiltonian engineering is an important approach for quantum information processing, when appropriate materials do not exist in nature or are unstable. So far there is no stable material for the Kitaev spin Hamiltonian with anisotropic interactions on a honeycomb lattice, which plays a crucial role in the realization of both Abelian and non-Abelian anyons. Here, we show two methods to dynamically realize the Kitaev spin Hamiltonian from the conventional Heisenberg spin Hamiltonian using pulse-control techniques based on the Baker-Campbell-Hausdorff (BCH) formula. In the first method, the Heisenberg interaction is changed into Ising interactions in the first process of the pulse sequence. In the next process of the first method, we transform them to a desirable anisotropic Kitaev spin Hamiltonian. In the second more efficient method, we show that if we carefully design two-dimensional pulses that vary depending on the qubit location, we can obtain the desired Hamiltonian in only one step of applying the BCH formula. As an example, we apply our methods to spin qubits based on quantum dots, in which the effects of both the spin-orbit interaction and the hyperfine interaction are estimated.

In the Quest for a Stable Triplet State in Small Polyaromatic Hydrocarbons : An In-Silico Tool for Rational Design and Prediction

2019 ◽  
Author(s):  
Madhumita Rano ◽  
Sumanta K Ghosh ◽  
Debashree Ghosh
Keyword(s):  
Triplet State ◽  
Small Molecules ◽  
In Silico ◽  
Qualitative Agreement ◽  
Rational Design ◽  
Polyaromatic Hydrocarbons ◽  
Spin Hamiltonian ◽  
Spin Frustration ◽  
Computationally Efficient ◽  
High Level

<div>Combining the roles of spin frustration and geometry of odd and even numbered rings in polyaromatic hydrocarbons (PAHs), we design small molecules that show exceedingly small singlet-triplet gaps and stable triplet ground states. Furthermore, a computationally efficient protocol with a model spin Hamiltonian is shown to be capable of qualitative agreement with respect to high level multireference calculations and therefore, can be used for fast molecular discovery and screening.</div>

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